Soohoo, R. F. (1963) Nonconfocal multimode resonators for masers. Proceedings of the IEEE, 51 (1). pp. 70-75. ISSN 0018-9219. doi:10.1109/PROC.1963.1661. https://resolver.caltech.edu/CaltechAUTHORS:20170821-161743593
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Abstract
The case of a resonator composed of two concave spherical reflectors separated by an arbitrary distance is examined. The general problem of the electromagnetic field distribution over the nonconfocal aperture is first formulated by means of the Huygens principle. The solution of the resulting integral equation is obtained analytically in the highly nonconfocal limit. It was found that when the reflector spacing d is much larger than the radius of curvature b of the reflectors, the aperture field distribution is in the form of traveling waves. For arbitrary d/b, the eigenvalues and eigenfunctions of the lowest order mode is obtained by numerical solution using the IBM 7090 computer. The diffraction loss was found to increase rapidly when d→2b and a geometrical interpretation of this behavior is given. Furthermore, it was found that as the spacing departs from the confocal value, the apertures are no longer surfaces of constant phase. The optimum spacing for maximum Q of the resonator is also obtained.
Item Type: | Article | |||||||||
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Additional Information: | © 1963 IEEE. Received August 13, 1962. | |||||||||
Issue or Number: | 1 | |||||||||
DOI: | 10.1109/PROC.1963.1661 | |||||||||
Record Number: | CaltechAUTHORS:20170821-161743593 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170821-161743593 | |||||||||
Official Citation: | R. F. Soohoo, "Nonconfocal multimode resonators for masers," in Proceedings of the IEEE, vol. 51, no. 1, pp. 70-75, Jan. 1963. doi: 10.1109/PROC.1963.1661 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 80656 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | INVALID USER | |||||||||
Deposited On: | 22 Aug 2017 01:43 | |||||||||
Last Modified: | 15 Nov 2021 19:37 |
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